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Finding the Fourth Proportional to 2,056.95, 3,085.62 and 596.07

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Solution

The fourth proportional to 2,056.95, 3,085.62 and 596.07 is: 894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.95 : 3,085.62 = 596.07 : x
  2. Step 2: Convert to fraction form
    2,056.95/3,085.62 = 596.07/x
  3. Step 3: Cross multiply
    2,056.95x = 3,085.62 × 596.07
  4. Step 4: Simplify right side
    2,056.95x = 1,839,245.51
  5. Step 5: Solve for x
    x = 1,839,245.51/2,056.95
  6. Step 6: Final answer
    x = 894.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.